Find the Degree x^2(x-1)(x+1)=0

$x^{2} (x - 1) (x + 1) = 0$

Step 1

Simplify and reorder the polynomial.

Apply the distributive property.

$(x^{2} x + x^{2} \cdot - 1) (x + 1)$

Multiply $x^{2}$ by $x$ by adding the exponents.

Multiply $x^{2}$ by $x$ .

Raise $x$ to the power of $1$ .

$(x^{2} x^{1} + x^{2} \cdot - 1) (x + 1)$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$(x^{2 + 1} + x^{2} \cdot - 1) (x + 1)$

Add $2$ and $1$ .

$(x^{3} + x^{2} \cdot - 1) (x + 1)$

Simplify terms.

Move $- 1$ to the left of $x^{2}$ .

$(x^{3} - 1 \cdot x^{2}) (x + 1)$

Rewrite $- 1 x^{2}$ as $- x^{2}$ .

$(x^{3} - x^{2}) (x + 1)$

Expand $(x^{3} - x^{2}) (x + 1)$ using the FOIL Method.

Apply the distributive property.

$x^{3} (x + 1) - x^{2} (x + 1)$

Apply the distributive property.

$x^{3} x + x^{3} \cdot 1 - x^{2} (x + 1)$

Apply the distributive property.

$x^{3} x + x^{3} \cdot 1 - x^{2} x - x^{2} \cdot 1$

Simplify and combine like terms.

Simplify each term.

Multiply $x^{3}$ by $x$ by adding the exponents.

Multiply $x^{3}$ by $x$ .

Raise $x$ to the power of $1$ .

$x^{3} x^{1} + x^{3} \cdot 1 - x^{2} x - x^{2} \cdot 1$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$x^{3 + 1} + x^{3} \cdot 1 - x^{2} x - x^{2} \cdot 1$

Add $3$ and $1$ .

$x^{4} + x^{3} \cdot 1 - x^{2} x - x^{2} \cdot 1$

Multiply $x^{3}$ by $1$ .

$x^{4} + x^{3} - x^{2} x - x^{2} \cdot 1$

Multiply $x^{2}$ by $x$ by adding the exponents.

Move $x$ .

$x^{4} + x^{3} - (x \cdot x^{2}) - x^{2} \cdot 1$

Multiply $x$ by $x^{2}$ .

Raise $x$ to the power of $1$ .

$x^{4} + x^{3} - (x^{1} x^{2}) - x^{2} \cdot 1$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$x^{4} + x^{3} - x^{1 + 2} - x^{2} \cdot 1$

Add $1$ and $2$ .

$x^{4} + x^{3} - x^{3} - x^{2} \cdot 1$

Multiply $- 1$ by $1$ .

$x^{4} + x^{3} - x^{3} - x^{2}$

Subtract $x^{3}$ from $x^{3}$ .

$x^{4} + 0 - x^{2}$

Add $x^{4}$ and $0$ .

$x^{4} - x^{2}$

Step 2

The largest exponent is the degree of the polynomial.

$4$

Find the Degree x^2(x-1)(x+1)=0

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